Existence of eight positive periodic solutions for a food-limited two-species cooperative patch system with harvesting terms

Existence of eight positive periodic solutions for a food-limited two-species cooperative patch system with harvesting terms
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DOI:
10.1016/j.cnsns.2012.12.002
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发表时间:
2013-07
期刊:
Commun. Nonlinear Sci. Numer. Simul.
影响因子:
--
通讯作者:
H. Fang
H. Fang
中科院分区:
其他
文献类型:
--
作者:
H. Fang

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研究了一类具有收获期的食物有限的两种群合作斑块系统。利用Mawhin重合度理论,在参数周期性的假设下,建立了该系统至少存在8个正周期解的新判据.最后通过一个例子说明了结果的有效性.最后给出了结果的生态学解释。
This paper is concerned with a food-limited two-species cooperative patch system with harvesting terms. By using Mawhin’s coincidence degree theory, this paper establishes a new criterion on the existence of at least eight positive periodic solutions for this system under the assumption of periodicity of the parameters. An example is given to illustrate the effectiveness of the result. The ecological interpretation of the result is also given.